Hermitian-Einstein metrics and Chern number inequalities on parabolic stable bundles over Kahler manifolds | |
Li, JY | |
刊名 | COMMUNICATIONS IN ANALYSIS AND GEOMETRY |
2000-07-01 | |
卷号 | 8期号:3页码:445-475 |
ISSN号 | 1019-8385 |
英文摘要 | Let (X) over bar be a compact complex manifold with a smooth Kahler metric and D = Sigma(i=1)(m) D-i a divisor in (X) over bar with normal crossings. Let E be a holomorphic vector bundle over (X) over bar with a stable parabolic structure along D. We prove that there exists a Hermitian-Einstein metric on E' = E \(<(X)over bar\D) and obtain a Chern number inequality for a stable parabolic bundle. Without the assumption that the irreducible components D-i of D meet transversely, using Hironaka's theorem on the resolution of singularities, we also get a Chern number inequality for a more general stable parabolic bundle. |
语种 | 英语 |
出版者 | INT PRESS CO LTD |
WOS记录号 | WOS:000088907900001 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15267] |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Li, JY |
作者单位 | Acad Sinica, Inst Math, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Li, JY. Hermitian-Einstein metrics and Chern number inequalities on parabolic stable bundles over Kahler manifolds[J]. COMMUNICATIONS IN ANALYSIS AND GEOMETRY,2000,8(3):445-475. |
APA | Li, JY.(2000).Hermitian-Einstein metrics and Chern number inequalities on parabolic stable bundles over Kahler manifolds.COMMUNICATIONS IN ANALYSIS AND GEOMETRY,8(3),445-475. |
MLA | Li, JY."Hermitian-Einstein metrics and Chern number inequalities on parabolic stable bundles over Kahler manifolds".COMMUNICATIONS IN ANALYSIS AND GEOMETRY 8.3(2000):445-475. |
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